 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2020/paper-1/12/a/solution

x = r cos θ

and

y = r sin θ

r

d S = r d r d θ (r \geq 0) .

This accounts for the increasing length of an angular strip as its distance from the origin increases.

 New to topics? Read the docs here!